Lp BOUNDS FOR A CLASS OF MARCINKIEWICZ INTEGRAL OPERATORS

被引：1
|
作者：
Al-Salman, Ahmad [1 ]
机构：
[1] Sultan Qaboos Univ, Dept Math, Muscat, Oman
来源：
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2019年 / 31卷 / 02期
关键词：
Marcinkiewicz integrals; rough kernels; flat curves; Fourier transform; area integral; Littlewood-Paley g(lambda)* functions; SINGULAR-INTEGRALS; MAXIMAL FUNCTIONS; HARMONIC-ANALYSIS; NILPOTENT GROUPS; ROUGH KERNELS; BOUNDEDNESS;
D O I：
10.1216/JIE-2019-31-2-165
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a class of mappings that is more general than the class of polynomials as well as the class of convex functions. We prove L-p estimates of Marcinkiewicz integral operators along surfaces generated by mappings belong to this class. Moreover, we establish the L-p boundedness of the corresponding maximal functions. Our results extend as well as improve previously known results on Marcinkiewicz integral operators and maximal functions.
引用
收藏
页码：165 / 182
页数：18
相关论文
共 50 条
12345